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Finding the Third Proportional to 216.63 and 240.25

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Solution

The third proportional to 216.63 and 240.25 is: 266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.63 : 240.25 = 240.25 : x
  2. Step 2: Convert to fraction form
    216.63/240.25 = 240.25/x
  3. Step 3: Cross multiply
    216.63x = 240.25 × 240.25
  4. Step 4: Simplify right side
    216.63x = 57,720.06
  5. Step 5: Solve for x
    x = 57,720.06/216.63
  6. Step 6: Final answer
    x = 266.45

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.